I need some feedback on my eye tracking code. Something is wrong either with it or with the eye bones, and I can't figure out what exactly. Firstly, I can only set the direction from the "head" bone and re-use it later for the eye bone, but it is not very precise, I feel. When I uncomment the code in the second pic, the eye goes in a random extreme direction, Secondly, the eyes point lower (3rd pic) than they should (should be on the carrot). Do you spot any mistakes?

func look_at_target(delta):
  if target:
    var targ = target.global_transform.origin
    var target_pos = $skeleton.to_local(targ)

    var bone = $skeleton.find_bone("DEF-neck.001")
    var pose : Transform3D = $skeleton.get_bone_global_rest(bone)
    var direction = (pose.origin - target_pos)
    var look_at_point = pose.origin   direction.normalized()
    var pose_new = pose.looking_at(target_pos, Vector3(0,1,0))
    var angle = (-pose.basis.z).angle_to(-pose_new.basis.z)
    angle = clamp(angle, deg_to_rad(-80), deg_to_rad(80))
    var axis = ((-pose.basis.z).cross(-pose_new.basis.z)).normalized()
    pose = pose.rotated(axis, angle)
    pose = pose.orthonormalized()
    $skeleton.set_bone_pose_rotation(bone, pose.basis)

    bone = $skeleton.find_bone("DEF-eye.L")
    pose = $skeleton.get_bone_global_rest(bone)
    #direction = (pose.origin - target_pos)
    #look_at_point = pose.origin   direction.normalized()
    pose_new = pose.looking_at(target_pos, -pose.basis.y)
    angle = (pose.basis.y).angle_to(pose_new.basis.y)
    angle = clamp(angle, deg_to_rad(-80), deg_to_rad(80))
    axis = ((pose.basis.y).cross(pose_new.basis.y)).normalized()
    pose = pose.rotated(axis, angle)
    pose = pose.orthonormalized()
    $skeleton.set_bone_pose_rotation(bone, pose.basis)

https://preview.redd.it/ioxqwak7llzc1.png?width=697&format=png&auto=webp&s=fe33c9870ac256c37fac4fa90c9f01af248215aa

https://preview.redd.it/jkwr1pk8llzc1.png?width=1045&format=png&auto=webp&s=fff18f2bb163aab380911107ca6f8ec0157d76f9